Its either go with his ^ advice. or go with a non-overclock build,
get i5 3470, h77 board or b75 for budget wise, then you can upgrade that gpu. to a 7850 atleast. And you can also change the psu to high quality psu like corsair/seasonic. But if this is a pre-build pc, then I suggest you build you own PC to save money and have a better PC.
You can't pair a 3570K with an H61 because the H61 will require a BIOS update before it will recognize the CPU, and H61 also forfeits access to the multiplier which defeats the purpose of getting an unlocked CPU in the first place.